Add, Subtract, & Multiply Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 2x^2 + 3x - 5 is a polynomial.

Front

What does it mean to add polynomials?

Back

Adding polynomials involves combining like terms, which are terms that have the same variable raised to the same power.

Front

What is the process for subtracting polynomials?

Back

To subtract polynomials, distribute the negative sign to the second polynomial and then combine like terms.

Front

What is the formula for multiplying two binomials?

Back

The formula is (a + b)(c + d) = ac + ad + bc + bd.

Front

What is the result of (x - 3)(x + 10)?

Back

x^2 + 7x - 30.

Front

What is the product of (5n - 8)(5n + 8)?

Back

25n^2 - 64.

Front

How do you multiply a binomial by a trinomial?

Back

Use the distributive property: multiply each term in the binomial by each term in the trinomial and then combine like terms.

Front

What is the result of (2b + 3)(3b^2 + 2b + 1)?

Back

6b^3 + 13b^2 + 8b + 3.

Front

What does it mean to square a binomial?

Back

Squaring a binomial means multiplying the binomial by itself, e.g., (a + b)^2 = a^2 + 2ab + b^2.

Front

What is the result of (2x + 3)^2?

Back

4x^2 + 12x + 9.